Graphical Krein Signature Theory and Evans--Krein Functions

DOI10.1137/120891423zbMath1300.47078arXiv1209.3185OpenAlexW2111732273MaRDI QIDQ5408232

Richard Kollár, Peter D. Miller

Publication date: 9 April 2014

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.3185

zbMATH Keywords

stabilityeigenvalueEvans functionHamiltonian systemindex theoremsoperator pencilKrein signaturegraphical Krein signature

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Eigenvalues, singular values, and eigenvectors (15A18) Spectrum, resolvent (47A10) Eigenvalue problems for linear operators (47A75) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Matrix pencils (15A22)

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